Given
radius of cone = 5 in
slant height , y =13 in
Find
Volume of the cone in terms of π.
Explanation
As we know ,
Volume of cone is given by
[tex]\frac{1}{3}\pi r^2h[/tex]
we need the value of h ,
[tex]\begin{gathered} h^2=y^2-r^2 \\ h=\sqrt{13^2-5^2} \\ h=\sqrt{169-25} \\ h=\sqrt{144}=12 \end{gathered}[/tex]
so volume =
[tex]\begin{gathered} \frac{1}{3}\pi(5)^2\times12 \\ 100\pi \end{gathered}[/tex]
Final Answer
Therefore , the volume of the cone is 100π cubic inches.
so , the correct option is C.
